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Finding the Fourth Proportional to 2,772.80, 3,827.76 and 1,987.28

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Solution

The fourth proportional to 2,772.80, 3,827.76 and 1,987.28 is: 2,743.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.80 : 3,827.76 = 1,987.28 : x
  2. Step 2: Convert to fraction form
    2,772.80/3,827.76 = 1,987.28/x
  3. Step 3: Cross multiply
    2,772.80x = 3,827.76 × 1,987.28
  4. Step 4: Simplify right side
    2,772.80x = 7,606,830.89
  5. Step 5: Solve for x
    x = 7,606,830.89/2,772.80
  6. Step 6: Final answer
    x = 2,743.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.